A time-periodic parabolic eigenvalue problem on finite networks and its applications
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Publication:6599771
DOI10.1007/s00332-024-10063-1zbMATH Open1547.35471MaRDI QIDQ6599771
Publication date: 6 September 2024
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
asymptotic behaviorprincipal eigenvaluefinite networktime-periodic parabolic operatorpopulation/disease persistence
Periodic solutions to PDEs (35B10) Initial-boundary value problems for second-order parabolic equations (35K20) Estimates of eigenvalues in context of PDEs (35P15) Population dynamics (general) (92D25) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Cites Work
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- Varying total population enhances disease persistence: qualitative analysis on a diffusive SIS epidemic model
- Population persistence in river networks
- Seasonal influences on population spread and persistence in streams: spreading speeds
- Evolution of dispersal in open advective environments
- Some paradoxical effects of the advection on a class of diffusive equations in ecology
- Dynamics and asymptotic profiles of steady states of an epidemic model in advective environments
- Rearrangement inequalities and applications to isoperimetric problems for eigenvalues
- Effects of heterogeneity on spread and persistence in rivers
- Effects of diffusion and advection on the principal eigenvalue of a periodic-parabolic problem with applications
- Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
- Global stability of the steady states of an SIS epidemic reaction-diffusion model
- Asymptotic profiles of the positive steady state for an SIS epidemic reaction-diffusion model. I
- Classical solvability of linear parabolic equations on networks
- The evolution of dispersal rates in a heterogeneous time-periodic environment
- Global dynamics of a Lotka-Volterra competition-diffusion-advection system in heterogeneous environments
- Global dynamics of a classical Lotka-Volterra competition-diffusion-advection system
- Dynamics of a benthic-drift model for two competitive species
- Sharp spatiotemporal patterns in the diffusive time-periodic logistic equation
- Control strategies for a multi-strain epidemic model
- Classifying the level set of principal eigenvalue for time-periodic parabolic operators and applications
- Global dynamics of a two-species Lotka-Volterra competition-diffusion-advection system with general carrying capacities and intrinsic growth rates. II: Different diffusion and advection rates
- On a second order eigenvalue problem and its application
- On a Lotka-Volterra competition-diffusion-advection system: homogeneity vs heterogeneity
- Population dynamics in river networks
- Elliptic eigenvalue problems with large drift and applications to nonlinear propagation phenomena
- Concentration profile of endemic equilibrium of a reaction-diffusion-advection SIS epidemic model
- Asymptotic profile of the positive steady state for an SIS epidemic reaction-diffusion model: effects of epidemic risk and population movement
- A spatial SIS model in advective heterogeneous environments
- Estimates for the principal spectrum point for certain time-dependent parabolic operators
- $R_0$ Analysis of a Benthic-Drift Model for a Stream Population
- The periodic logistic equation with spatial and temporal degeneracies
- A reaction–diffusion SIS epidemic model in a time-periodic environment
- $R_0$ Analysis of a Spatiotemporal Model for a Stream Population
- Seasonal Influences on Population Spread and Persistence in Streams: Critical Domain Size
- Effects of large degenerate advection and boundary conditions on the principal eigenvalue and its eigenfunction of a linear second order elliptic operator
- Asymptotics of the Principal Eigenvalue for a Linear Time-Periodic Parabolic Operator I: Large Advection
- Principal eigenvalue and eigenfunctions of an elliptic operator with large advection and its application to a competition model
- Sturm-Liouville eigenvalue problems on networks
- Dissipativity and global attractors for a class of quasilinear parabolic systems
- Optimization of some eigenvalue problems with large drift
- Effects of diffusion and advection on the smallest eigenvalue of an elliptic operator and their applications
- Asymptotic Behavior of the Principal Eigenvalue of a Linear Second Order Elliptic Operator with Small/Large Diffusion Coefficient
- Asymptotics of the principal eigenvalue for a linear time-periodic parabolic operator II: Small diffusion
- Global Dynamics of a Lotka--Volterra Competition-Diffusion System in Advective Heterogeneous Environments
- Monotonicity of the principal eigenvalue for a linear time-periodic parabolic operator
- Single Phytoplankton Species Growth with Light and Advection in a Water Column
- Dynamical systems in population biology
- Human mobility and disease prevalence
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